Abstract: Mounting evidence suggests that fluid advection can effectively be studied by considering special material surfaces, which are referred to here as Lagrangian coherent structures (LCSs). The Lagrangian nature of LCS makes them “transport barriers”; however, it is their distinguished stability, which often translates into separatrix behavior that substantiates their importance. This chapter reviews the main concepts underlying this approach to studying fluid advection, and how these structures are commonly computed in practice and related practical concerns. The global approach on LCS was built on the observation that material points straddling stable/unstable manifolds typically separate faster in forward/backward time than pairs of points not straddling such manifolds. The computation of LCS is typically derived from trajectory information obtained by processing Eulerian velocity data. Theoretically, one can choose a certain class of errors and derive rigorous estimates for the robustness of LCS. Controlled Vocabulary Terms fluids; velocity
Publication Year: 2011
Publication Date: 2011-11-16
Language: en
Type: other
Indexed In: ['crossref']
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Cited By Count: 76
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